211201121102120 has 64 divisors (see below), whose sum is σ = 487061974886400. Its totient is φ = 82394650517760.

The previous prime is 211201121102093. The next prime is 211201121102141. The reversal of 211201121102120 is 21201121102112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352030991 + ... + 352630430.

It is an arithmetic number, because the mean of its divisors is an integer number (7610343357600).

Almost surely, 2^{211201121102120} is an apocalyptic number.

211201121102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211201121102120 is an abundant number, since it is smaller than the sum of its proper divisors (275860853784280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211201121102120 is a wasteful number, since it uses less digits than its factorization.

211201121102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704661618 (or 704661614 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 211201121102120 its reverse (21201121102112), we get a palindrome (232402242204232).

The spelling of 211201121102120 in words is "two hundred eleven trillion, two hundred one billion, one hundred twenty-one million, one hundred two thousand, one hundred twenty".